{"title":"相位优化问题中非线性积分方程的新解","authors":"M. Andriychuk, N. N. Voitovich","doi":"10.1109/DIPED.2009.5306950","DOIUrl":null,"url":null,"abstract":"A nonlinear integral equation system arising in the phase optimization problems for antennas and transmitting lines is investigated with the object to the number and types of its solutions. The modified Newton method in combination with the simple iteration one is used for determination of solutions having various amplitude and phase characteristics. New types of solutions are found and numerically analyzed.","PeriodicalId":404875,"journal":{"name":"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"New solutions of nonlinear integral equation arising in phase optimization problems\",\"authors\":\"M. Andriychuk, N. N. Voitovich\",\"doi\":\"10.1109/DIPED.2009.5306950\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A nonlinear integral equation system arising in the phase optimization problems for antennas and transmitting lines is investigated with the object to the number and types of its solutions. The modified Newton method in combination with the simple iteration one is used for determination of solutions having various amplitude and phase characteristics. New types of solutions are found and numerically analyzed.\",\"PeriodicalId\":404875,\"journal\":{\"name\":\"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-10-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DIPED.2009.5306950\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2009.5306950","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New solutions of nonlinear integral equation arising in phase optimization problems
A nonlinear integral equation system arising in the phase optimization problems for antennas and transmitting lines is investigated with the object to the number and types of its solutions. The modified Newton method in combination with the simple iteration one is used for determination of solutions having various amplitude and phase characteristics. New types of solutions are found and numerically analyzed.